5.28 a manufacturer knows that on average 20% of the electric toasters produced require repairs within 1 year after they are sold. when 20 toasters are randomly selected, find appropriate numbers x and y such that (a) the probability that at least x of them will require repairs is less than 0.5; (b) the probability that at least y of the?

A) probability that at least x of them will require repairs is less than 0.5 is 4

Step-by-step explanation:

sample size, n = 20

p = success probability of toaster = 0.2

q = failure probability of toaster =1- p = 1- 0.2 =0.8

mean, , μ = n * p = 20 * 0.2 = 4

standard deviation,

a) the probability that at least some of them require repairs < 0.5.

for value of z = 0

we know

from z table

X =  4

B)  SECOND PART IS INCOMPLETE { DATA IS INCOMPLETE}

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step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).